6(1.5x-.333)=2(2x-1.5)

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Solution for 6(1.5x-.333)=2(2x-1.5) equation: 


Simplifying
6(1.5x + -0.333) = 2(2x + -1.5)

Reorder the terms:
6(-0.333 + 1.5x) = 2(2x + -1.5)
(-0.333 * 6 + 1.5x * 6) = 2(2x + -1.5)
(-1.998 + 9x) = 2(2x + -1.5)

Reorder the terms:
-1.998 + 9x = 2(-1.5 + 2x)
-1.998 + 9x = (-1.5 * 2 + 2x * 2)
-1.998 + 9x = (-3 + 4x)

Solving
-1.998 + 9x = -3 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
-1.998 + 9x + -4x = -3 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-1.998 + 5x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1.998 + 5x = -3 + 0
-1.998 + 5x = -3

Add '1.998' to each side of the equation.
-1.998 + 1.998 + 5x = -3 + 1.998

Combine like terms: -1.998 + 1.998 = 0.000
0.000 + 5x = -3 + 1.998
5x = -3 + 1.998

Combine like terms: -3 + 1.998 = -1.002
5x = -1.002

Divide each side by '5'.
x = -0.2004

Simplifying
x = -0.2004

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